Least Common Multiple (LCM) of 169 and 79
The least common multiple (LCM) of 169 and 79 is 13351.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 169 and 79?
First, calculate the GCD of 169 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 79 = 2 remainder 11 |
| 2 | 79 ÷ 11 = 7 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 180 | 30420 |
| 189 and 83 | 15687 |
| 118 and 165 | 19470 |
| 70 and 74 | 2590 |
| 180 and 180 | 180 |